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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 363 · 40 sums
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The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of (5/8)⁻¹? =
  2. 2.What is the value of 2³ × 2⁻¹? =
  3. 3.Write 4.9 × 10⁻¹ as a decimal. =
  4. 4.Write 2⁶ ÷ 2² as a single power 2ⁿ. What is n?
  5. 5.What is the value of 5⁻³ (as a fraction)? =
  6. 6.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 5⁻² (as a fraction)? =
  8. 8.9.7 × 10⁶ =
  9. 9.Write 300 in standard form as 3 × 10ⁿ. What is n?
  10. 10.What is the value of 10² × 10⁻³? =
  11. 11.What is the value of 2¹²? =
  12. 12.What is the value of 6⁻¹ (as a fraction)? =
  13. 13.Write 3⁹ × 3⁹ as a single power 3ⁿ. What is n?
  14. 14.Write 1.4 × 10⁻² as a decimal. =
  15. 15.Write (3⁵)² as a single power 3ⁿ. What is n?
  16. 16.5.6 × 10⁵ =
  17. 17.Write 3.2 × 10⁻³ as a decimal. =
  18. 18.Write 8¹³ ÷ 8⁸ as a single power 8ⁿ. What is n?
  19. 19.What is the value of (1/6)⁻¹? =
  20. 20.Write 4.8 × 10⁻² as a decimal. =
  21. 21.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  22. 22.What is the value of (3/5)⁻²? =
  23. 23.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 9²? =
  25. 25.What is the value of 10³? =
  26. 26.What is the value of 6⁻³ (as a fraction)? =
  27. 27.7.6 × 10⁵ =
  28. 28.What is the value of 2⁴? =
  29. 29.What is the value of 10⁻¹ (as a fraction)? =
  30. 30.Write 40,00,000 in standard form as 4 × 10ⁿ. What is n?
  31. 31.8.1 × 10⁵ =
  32. 32.What is the value of 2¹⁰? =
  33. 33.What is the value of 2² × 2⁻¹? =
  34. 34.What is the value of 4⁻² (as a fraction)? =
  35. 35.Write 2.2 × 10⁻² as a decimal. =
  36. 36.What is the value of (6/7)⁻¹? =
  37. 37.Write (7⁹)³ as a single power 7ⁿ. What is n?
  38. 38.Write 7.8 × 10⁻¹ as a decimal. =
  39. 39.Write 5.7 × 10⁻² as a decimal. =
  40. 40.Write 8⁵ ÷ 8³ as a single power 8ⁿ. What is n?

Answer key

  1. 8/5
  2. 4
  3. 0.49
  4. 4
  5. 1/125
  6. 12
  7. 1/25
  8. 9700000
  9. 2
  10. 1/10
  11. 4096
  12. 1/6
  13. 18
  14. 0.014
  15. 10
  16. 560000
  17. 0.0032
  18. 5
  19. 6
  20. 0.048
  21. 15
  22. 25/9
  23. 6
  24. 81
  25. 1000
  26. 1/216
  27. 760000
  28. 16
  29. 1/10
  30. 6
  31. 810000
  32. 1024
  33. 2
  34. 1/16
  35. 0.022
  36. 7/6
  37. 27
  38. 0.78
  39. 0.057
  40. 2

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